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Finding the Fourth Proportional to 727.54, 1,002.66 and 517.72

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Solution

The fourth proportional to 727.54, 1,002.66 and 517.72 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.54 : 1,002.66 = 517.72 : x
  2. Step 2: Convert to fraction form
    727.54/1,002.66 = 517.72/x
  3. Step 3: Cross multiply
    727.54x = 1,002.66 × 517.72
  4. Step 4: Simplify right side
    727.54x = 519,097.14
  5. Step 5: Solve for x
    x = 519,097.14/727.54
  6. Step 6: Final answer
    x = 713.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.